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Finding the Fourth Proportional to 3,768.69, 5,619.93 and 3,684.99

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Solution

The fourth proportional to 3,768.69, 5,619.93 and 3,684.99 is: 5,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.69 : 5,619.93 = 3,684.99 : x
  2. Step 2: Convert to fraction form
    3,768.69/5,619.93 = 3,684.99/x
  3. Step 3: Cross multiply
    3,768.69x = 5,619.93 × 3,684.99
  4. Step 4: Simplify right side
    3,768.69x = 20,709,385.85
  5. Step 5: Solve for x
    x = 20,709,385.85/3,768.69
  6. Step 6: Final answer
    x = 5,495.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.